CK-12 Probability and Statistics - Advanced

http://www.ck12.org Chapter 12. Non-Parametric Statistics

Lesson Summary

1. The Kruskal-Wallis test is used when we are assessing the one way variance of a specific variable in non-normal
   distributions.


2. The test statistic for the Kruskal-Wallis test(H)is the non-parametric alternative to theF-statistic. This test
   statistic is defined by the formula

H=

12

N(N+ 1 )

k

∑

k= 1

R^2 k

nk

− 3 (N+ 1 )

3. The runs test (also known as the Wald-Wolfowitz test) is another non-parametric test that is used to test the
   hypothesis that the samples taken from a population are independent of one another. We use thez-statistic to evaluate
   this hypothesis.